# Phase transitions in the distribution of inelastically colliding inertial particles

@article{Belan2015PhaseTI, title={Phase transitions in the distribution of inelastically colliding inertial particles}, author={Sergey Belan and A. Chernykh and Gregory Falkovich}, journal={arXiv: Chaotic Dynamics}, year={2015} }

It was recently suggested that the sign of particle drift in inhomogeneous temperature or turbulence depends on the particle inertia: weakly inertial particles localize near minima of temperature or turbulence intensity (effects known as thermophoresis and turbophoresis), while strongly inertial particles fly away from minima in an unbounded space. The problem of a particle near minima of turbulence intensity is related to that of two particles in a random flow, so that the localization… Expand

#### 4 Citations

Inelastic collapse and near-wall localization of randomly accelerated particles.

- Physics, Medicine
- Physical review. E
- 2016

It is demonstrated that inelastic collapse takes place also in a wide class of models with spatially inhomogeneous random forcing and, what is more, that the critical value β_{c} is universal. Expand

Statistical models for spatial patterns of heavy particles in turbulence

- Physics
- 2014

The dynamics of heavy particles suspended in turbulent flows is of fundamental importance for a wide range of questions in astrophysics, atmospheric physics, oceanography, and technology. Laboratory… Expand

Eddy diffusivity of quasi-neutrally-buoyant inertial particles

- Physics
- 2017

We investigate the large-scale transport properties of quasi-neutrally-buoyant inertial particles carried by incompressible zero-mean periodic or steady ergodic flows. We show how to compute… Expand

Mixing and fluid dynamics under location uncertainty

- Mathematics
- 2017

This thesis develops, analyzes and demonstrates several valuable applications of randomized fluid dynamics models referred to as under location uncertainty. The velocity is decomposed between… Expand

#### References

SHOWING 1-10 OF 20 REFERENCES

Localization-delocalization transitions in turbophoresis of inertial particles.

- Physics, Medicine
- Physical review letters
- 2014

It is shown that escaping minima is possible for inertial particles whose time of equilibration is longer than the time to reach the minimum, which means separation: light particles concentrate in a minimum while heavy particles spread away from it. Expand

Stochastic suspensions of heavy particles

- Mathematics, Physics
- 2008

Turbulent suspensions of heavy particles in incompressible flows have gained much attention in recent years. A large amount of work focused on the impact that the inertia and the dissipative dynamics… Expand

Non-isothermal inertial Brownian motion

- Physics
- 1998

Abstract The stationary distribution of a dilute gas of Brownian particles in an inhomogeneous thermal bath and in the presence of a force field is considered. Our aim is to understand the dynamics… Expand

Concentration of diffusional particles in viscous boundary sublayer of turbulent flow

- Physics
- 2016

The motion of inertial particles suspended in the viscous boundary sublayer of a wall-bounded turbulent flow is considered. We show that there is the diffusional region near the wall occupied by the… Expand

Heavy particles in incompressible flows: The large Stokes number asymptotics

- Mathematics
- 2007

Abstract The dynamics of very heavy particles suspended in incompressible flows is studied in the asymptotics in which their response time is much larger than any characteristic time of fluid motion.… Expand

The transport of discrete particles in inhomogeneous turbulence

- Physics
- 1983

A Master Transport equation is presented as a basis for the description of the statistical behaviour of discrete particles in inhomogeneous turbulence. Motion is considered in the particle phase… Expand

Acceleration of rain initiation by cloud turbulence

- Physics, Medicine
- Nature
- 2002

It is concluded that air turbulence can substantially accelerate the appearance of large droplets that trigger rain. Expand

Confinement of inertial particles in the viscous boundary layer of a turbulent flow

- Physics
- 2015

We examine space and momentum probability distribution of inertial particles when they are placed in the viscous boundary sublayer of a turbulent flow. We demonstrate that at varying elasticity of… Expand

A note on the modelling of the bouncing of spherical drops or solid spheres on a wall in viscous fluid

- Physics
- 2006

A generalized description of the rebound of spherical drops or solid spheres over a wall is proposed using two parameters: a coefficient of restitution that compares the velocity of restitution to… Expand

Inelastic collapse of a randomly forced particle

- Physics
- 1998

We consider a randomly forced particle moving in a finite region, which rebounds inelastically with coefficient of restitution r on collision with the boundaries. We show that there is a transition… Expand